Question

Find the area of quadrilateral ABCD in sq.units. Given AE = 5 units, BD =8 units and CF = 4 units

• A. 144 sq. units
• B. 36 sq. units
• C. 36 sq. units
• D. Data insuficient

Answer 1

The correct option is B

36 sq. units

Area of quadrilateral can be written as Ar$\Delta ABD$ + Ar $\Delta BCD$
Ar $\Delta ABD$ $=\frac{1}{2}\times base\times height=\frac{1}{2}\times 8\times 5$
Ar $\Delta BCD$ $=\frac{1}{2}\times base\times height=\frac{1}{2}\times 8\times 4$
$\therefore$ Area of quadrilateral = $\frac{1}{2}\times 8\times 5+\frac{1}{2}\times 8\times 4$

$\therefore$ Area of quadrilateral = 20+16
$=36sq.units$